Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 476712: An express and local train leave GraysLake at 3P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.

I want to say it would start out with 2x-50=????

Click here to see answer by Alan3354(69443) About Me 

Question 477139: Find the augmented matrix...
given the following system of linear equations
3x-2y+3=5
x+4y-1=9

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Question 476398: y=2x-7
y=-5x+14

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Question 477494: Solve the following equation for x. Please show all of your work.
w = 1/4(7x - 10y)

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Question 477493: Solve. 14 - 9(4 - 3q) = -5(q + 6). Please show all of your work.
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Question 477898: I just need help setting up the problem then I can solve it.
#1 In its business plan, a new restaurant predicts that the average amount each customer will spend per visit is $45. The average cost of ingredients per customer will be $22. The overhead cost to run the restaurant will be $12,000 per week. Find the number of customers that must be served each week to break even.




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Question 477899: I need help setting up the equations. I almost have it I think, but I want to make sure.
Solution A is 20% acid. Find the amount of Solution A and the amount of pure water needed to make 5 liters of a new solution that is 18% acid.
Thanks!!

Click here to see answer by nerdybill(7384) About Me 
Question 477899: I need help setting up the equations. I almost have it I think, but I want to make sure.
Solution A is 20% acid. Find the amount of Solution A and the amount of pure water needed to make 5 liters of a new solution that is 18% acid.
Thanks!!

Click here to see answer by ewatrrr(24785) About Me 

Question 477897: how is 10y to the sixth power divided by 10y to the fourth power 10y?
Click here to see answer by Alan3354(69443) About Me 

Question 478439: HELP!!!!! Im confused is there a difference between elimination and substitution in systems of equations i understand when to use them but i dont understand the difference thank you for the help!! great review for who ever answers have a beautiful day!
Click here to see answer by Theo(13342) About Me 

Question 478629: I am to write an equation of the line containing the given point and parallel to the given line. What is the quation of the line with this given information
(5,7), x+2y=7

Click here to see answer by lwsshak3(11628) About Me 
Question 478629: I am to write an equation of the line containing the given point and parallel to the given line. What is the quation of the line with this given information
(5,7), x+2y=7

Click here to see answer by solver91311(24713) About Me 

Question 478660: An amount of 40% acid solution is to be mixed with enough 10% acid solution to make 25% acid solution. If there are to be 20 litres of the final mixture, how much of each solution should be mixed together?
Click here to see answer by mananth(16946) About Me 

Question 478636: Add two matrices:
[ 3 4
6 5]+
[-1 3
-2 4]

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Question 478756: Can someone please help solve the following system of equations
2y=x+6
y=5+4x-x^2

Click here to see answer by mananth(16946) About Me 

Question 478842: A car and a plane travel 50 miles and 180 miles during the same time. The difference between their speeds is 143 miles per hour. Find the speed of the airplane.
Click here to see answer by Alan3354(69443) About Me 

Question 479135: Solve the Following problems by using the subtitution method.
1.The units digit of a two-digit number is 3 more than its tens digit. If the number is divided by the sum of its digit's, the quotient is 4 and the remainder is 3. Find the number.

2.Paul's investment is 10 000 less than thrice his sister's investment. If their total inestment amounts to 150 000, how much is Paul's investent?

3.Working together, Alleli and gemma can finnish their math project in 5 hours. Alleli can finish it alone twice as much time as gemma can do the job. How long will it take gemme to finnish the project alone?

PLSSS I NEED YOUR HELP, BECAUSE I DONT KNOW HOW TO DO THIS THANK YOU FOR HELPING ME TO SOLVE THIS MY ASSIGNMENT. THANK YOU :)) PLSSS I NEED THE ANSWER NOW AND PLSS INCLUDE THE SOLUTION BY EACH NUMBER THAN YOU

Click here to see answer by mananth(16946) About Me 

Question 479217: Solve each system by the addition method.
2x + 4y = 28
x - 2y = 10

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Question 479483: 1/6 - x/2 = x/3 - 5/3
Click here to see answer by Maths68(1474) About Me 

Question 479610: Please help solve the system of equations
y=50+0.15(x-500) and y=105+0.10(x-650)
Solve the system of linear equations algebraically using either the substitution method or the elimination method to determine where the two cost options are equivalent, showing all work.
a. Explain each step used to solve the system of linear equations. Include the following in your explanation:
• The algebraic method used to solve the system of equations
• All mathematical operations used to solve the system of equations
• The solution of the system of equations

Click here to see answer by mananth(16946) About Me 

Question 386679: to solve the system given below using substitution, it is best to start by solving the second equation for x. 5x+2y=33 6y+x=3 true or false?
Click here to see answer by trexman(1) About Me 

Question 479811: hello, i would like some help with this equation using elimination 6x-4y=-8
11x+4y=76
What does x= and what does y=?
Thank you for your help

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Question 479829: i really need help on solving linear equations with elimination in non- standard form the equation is 2y=4x-16
5y=4x+8
Thanks for your help

Click here to see answer by Alan3354(69443) About Me 

Question 479796: solve the system of linear eqations by sybstitution. x+2y=6 and 2x+3y=8
i do have the results which are -2,4. But how do i find out type of system, and type of lines,

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Question 479930: find the system of these equations -2x=2+1y and -6x-y=-2
Click here to see answer by stanbon(75887) About Me 

Question 480279: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x + 11y = -50
-32x – 44y = -200

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Question 480298: Solve this problem:
-4x-3y=-8 Find the x and y intercepts. I also need to show all of my work in solving the equation.

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Question 480312: hello i need help in finding the equation of the line that passes through the point (-2,3) and has a slope of 5 ? tnx you very much
Click here to see answer by stanbon(75887) About Me 

Question 480310: hello i would please like to know the steps for finding the equation of the line with y-intercept of four and a slope of 3/2 thank you very much
Click here to see answer by stanbon(75887) About Me 

Question 480314: hellos i would like to know if you can explain the steps of graphing the line y=3-1/2(x-2)

and also graphing the inequality y less than -2+1/4x
tnx you very much

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Question 480506: Write the system of linear equations that corresponds to this augmented matrix


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Question 480507: A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set, while the other costs $45 per set. If the manager has $7,400 to spend, how many of each design should be ordered?

Click here to see answer by mathstutor494(120) About Me 

Question 480556: Find the two numbers whose sum is 29 and whose difference is 15. Please show all work.
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Question 480558: The sum of two numbers is 24 and their difference is 2. What are the numbers? Please show all work.
Click here to see answer by Maths68(1474) About Me 

Question 480759: 49x^2-14x-3
I have to factor. I got the common is 7 but it is not turning out right for me. please help.

Click here to see answer by algebrahouse.com(1659) About Me 

Question 480775: x^2+16x=0

I have to complete the square. I thought I needed to take way the x^2 and put on the other side and then I am left with 16x instead of 16. I could square 16 which is 4. But I don't know what to do with the other x?

Click here to see answer by stanbon(75887) About Me 

Question 481057: Solve the following system algebraically
2x^2 - y^2 = 14, x-y = 1

Click here to see answer by MathLover1(20850) About Me 

Question 481201: 135x^2-222x+91

I have to factor this problem.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 481255: I do not remember how to help my 7th grade daughter with this type of problem and any help would be greatly appreciated!
The table shows the results of two consecutive Biology test for James, Mazen, Mia, and Shameeka. What is teh test differential for each student?
Student Test 1 Test 2
James 84 96
Mazen 98 89
Mia 70 86
Shameeka 100 98
Thank you in advance for any help that you can provide for us!

Click here to see answer by Alan3354(69443) About Me 

Question 481338: Four family members Tom, Melanie, Bob and Irene have a collective age of 150 years. Melanie is one third Tom’s age and Bob’s age is twice Melanie’s. Irene’s age is as much as Tom’s and Melanie’s put together. What is each person age? Solve by any convenient algebraic method. How would you check your solution?
I've got the answer: tom=45, melanie=15, bob=30, irene=60 but i could not show the steps or solution. will you do it for me?

Click here to see answer by lwsshak3(11628) About Me 

Question 481597: How you derived the following?
x+x/3+2x/3+x+x/3=150
(10x)/3 = 150
My exact question here is how do you get the 10x? thanks


Click here to see answer by jim_thompson5910(35256) About Me 

Question 481739: Can you show me on how to solve these linear equations?
8–2(1–4a)=6a

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Question 481891: 2x-y=12,and x =2y then x=
Click here to see answer by ewatrrr(24785) About Me 

Question 481988: I am very confused with Algebra as a whole If someone can please help me using the substitution method with each step I would greatly appreciate it. 6x-2y=12 2x+2y=8
Click here to see answer by jim_thompson5910(35256) About Me 

Question 482022: How can you Evaluate the following?
y = (2a2b)2 * 3c + d/2 where a = 2, b = 3, c = 4 and d = 24

Click here to see answer by rfer(16322) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515